• ZOME geometry - Ideas for classroom
  • what you visualize at first might not work; process of forming different shapes; problem-solving process; recognizing shapes within shapes; seeing triangles within other shapes
  • names of 3d shapes
  • proportions/relationships; comparing areas if perimeter is fixed; comparing perimeters if area is fixed
  • trapezoids; area of a trapezoid
• Dynamic Geometry -Triangle Properties
  • Triangle Sum - large number of cases to observe; visual and  symbolic representation at the same time; congruence of triangles under rotation; simulating problem without GSP
  • Exterior Angles Sum - similar procedure with rotation; An exterior angle is sum of two opposite angles in a triangle; large number of cases to observe; visual and  symbolic representation at the same time; congruence of triangles under rotation;
  • Medians - Centroid and medians: The distance from the vertex to the centroid is double distance from centroid to the middle of the opposite side; slope; balance
  • Perpendicular Bisectors - a perpendicular line passing through the midpoint of any side; circumcenter - equidistant from triangle vertices; circumscribed circle - alternative - coffee filters
  • Altitudes - a line through vertex perpendicular to the opposite side; height of a triangle; heights intersect at one point - different kinds of a triangle - consider obtuse and right triangle; altitudes intersect at one point - othocenter - Why do we care?
  • Angle bisectors - incenter; equidistant from each side of the triangle; inscribed circle
  • Special cases - equilateral triangle - medians coincide/overlap with angle bisectors; perpendicular bisectors  - demonstration with paper
• Van Hiele's levels
• Nora sharing - "Love and Logic" - making choices

• What do we want to do this week?
• This year?

3d shapes -

• polygon - 2 dimensional shapes
• polyhedra - 3 dimensional shapes
  • platonic solids = regular polyhedra=
    • tetrahedron = 4 triangular faces (equilateral triangles are faces; 4 vertices; 6 edges)
    • hexahedron = cube (6 squares/faces; 12 edges; 8 vertices)
    • octahedron -
    • dodecahedron  - 12 faces
    • icosahedron - 20 faces

     

    Polyhedra  and Art: http://www.georgehart.com/virtual-polyhedra/art.html

    The Pavilion of Polyhedreality: http://www.georgehart.com/pavilion.html

Scrambled Proofs (2 handouts)

• Transversal ...
• Bowtie ...

Jim Fay's "Love and Logic" Annual Wichita Conference  - Wendi and Nora

Nine Essential Skills for the Love and Logic Classroom

1. Neutralizing arguments
2. Delaying consequences;
3. Handing them problem back - show empathy first; "It is terrible that you...what are you going to do about that?"
4. Recovery process
5. Developing positive relationship with students  - more neutral phrase - "Oh, I noticed..."
6. Setting enforceable statements that you can follow with ...
7. Using choices to prevent power struggle ...
8. Learn quick and preventative measures ... Have an arsenal of one liners
9. Guide students to solve their own problems

Check the Love and Logic Institute website for more information: www.loveandlogic.com

• Composition of transformations ... Mara and Diana
• Never Fail Brownies - Diana

September 24,  9:00 – 12:00

1. Donald in Mathmagic Land (Thanks Betty to bringing this to our attention)  -  you can order it at www.edustation.com

2. Graphing Calculators – Project Based Learning/Guided Inquiry

1. Hiker Lab

2. Hiker Lab Steps &Tips/Traps for TI83 and CBLs

3. CBL websites

4. Fairmount Center for Science and Mathematics Education http://webs.wichita.edu/facsme/ OR CALL or call 316 978-3191

DISCUSSION:

1. Labeling graphs/axes - time in seconds (horizontal); distance in feet; 6 meters (0-20ft) (vertical)

2. What can we say about velocity based on the graph's shape - slope/steepness; constant vs. variable

3. What can we say about acceleration based on the  graph's shape - curve up - positive velocity ...

4. Other ideas: videotaping different motion situation; write description for graphs; cut and have other groups match graphs and descriptions; creating required graph; setups - similar to step function; waves  - walking back and forth; trying on a ramp - understanding visual line; "horizontal parabola" -  different ideas to explore - two balls letting go at the same time...); using metronome to help uniformity

3. Numb3rs http://www.cbs.com/primetime/numb3rs/ti/activities.shtml

(1)   Sandy: Glencoe.com

(2) Diana: Slides, Flips and Turns OR Translations, Reflections and Rotations

a.      Translation of an object is determined with a vector (magnitude/distance and direction)

b.     Reflection of an object is determined with a line of reflection; line can be outside the object but it can also be passing through the object of

c.      Rotation of an object is determined by center of rotation and angle of rotation; center can be on the object and outside of the object

(3)   Nora: Geometry Graphic Design Project –

a.       

(4)   Scott: Clickers

a.      How to create questions

                                                    i.     Import from exam view

                                                  ii.     Add test, then add questions, import pics & graphs

b.     Using CPS reports to answer “What do we do when they don’t learn it?”

                                                    i.     Using reports to make small groups for re-teaching

                                                  ii.     Item analysis

c.      How to make fast-grades off of the KAN-ED website

                                                    i.     Using KAN-Ed to create KMA look alike assessments

d.     How to print off “corrections” for students to make from any test they have done

Thanks Wilbur

1. Diet Fractions (Diana)

2. Pyramid Activity (Paula Fry)

3. Sampling Techniques – An Activity with Poker Chips (Diana)

4. ....................... (Carrie Loux)

5. Websites from Betty

   • Simulations of tossing coins, spinners, etc. http://www.mathsonline.co.uk/nonmembers/resource/prob/spinners.html

   • Lots of math http://www.cut-the-knot.org/probability.shtml

   • Math Goodies: http://www.mathgoodies.com/lessons/toc_vol6.html

   • Dice Difference  http://exploringdata.cqu.edu.au/dicediff.htm

Thanks Curtis

1. How to play smaller to larger (Math Investigations) - handout
   How to play larger to smaller
   • 25 mats, 6 sets of cards
   • handout for everyone
2. Sort the following decimals from smallest to largest, from left to right:
3. Sort the following numbers from smallest to largest, from left to right:
4. Virtual Manipulatives: http://nlvm.usu.edu/en/nav/vlibrary.html
5. Enriching Mathematics: www.nrich.maths.org
6. Pythagorean Puzzles: http://nlvm.usu.edu/en/nav/frames_asid_164_g_3_t_3.html